Linear partial differential equations
Bachelor's degree
In Maynard (USA)
Description
-
Type
Bachelor's degree
-
Location
Maynard (USA)
-
Start date
Different dates available
This course covers the classical partial differential equations of applied mathematics: diffusion, Laplace/Poisson, and wave equations. It also includes methods and tools for solving these PDEs, such as separation of variables, Fourier series and transforms, eigenvalue problems, and Green's functions.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Green
Course programme
Lectures: 2 sessions / week, 1.5 hours / session
Differential Equations (18.03 or 18.034). Complex Variables with Applications (18.04) or Functions of a Complex Variable (18.112) are useful, as well as previous acquaintance with the equations as they arise in scientific applications.
Either one of the following textbooks will do.
Guenther, R. B., and J. W. Lee. Partial Differential Equations of Mathematical Physics and Integral Equations. New York, NY: Dover Publications, 1996. ISBN: 0486688895.
Myint-U, Tyn, and Lokenath Debnath. Linear Partial Differential Equations for Scientists and Engineers. 4th ed. Boston, MA: Birkhauser, 2006. ISBN: 0817643931.
There will be 6 problem sets given throughout the term. There will be two in-class tests and a final exam.
I. The Heat Equation in One Space Variable
II. The Wave Equation in One Space Variable
III. Method of Characteristics Solution to Quasilinear PDEs
IV. The Heat and Wave Equations with Two or Three Space Variables
V. The Heat Equation and Laplace's Equation on Unbounded Spacial Domains
VI. Green's Function Method for Solving ODEs, PDEs
Don't show me this again
This is one of over 2,200 courses on OCW. Find materials for this course in the pages linked along the left.
MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum.
No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates.
Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others. We don't offer credit or certification for using OCW.
Made for sharing. Download files for later. Send to friends and colleagues. Modify, remix, and reuse (just remember to cite OCW as the source.)
Learn more at Get Started with MIT OpenCourseWare
Linear partial differential equations